Pascal Command
Pascal
This article is about GeoGebra command.
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- Pascal
- InversePascal
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- CAS Specific Commands
- Pascal[ <Number of Successes>, <Probability of Success> ]
- Returns a bar graph of a Pascal distribution.
- Parameters:
- Number of Successes: number of independent Bernoulli trials that must be successful
- Probability of Success: probability of success in one trial
- Pascal[ <Number of Successes>, <Probability of Success>, <Boolean Cumulative> ]
- Returns a bar graph of a Pascal distribution when Cumulative = false.
- Returns a graph of a cumulative Pascal distribution when Cumulative = true.
- First two parameters are same as above.
- Pascal[ <Number of Successes>, <Probability of Success>, <Variable Value>, <Boolean Cumulative> ]
- Let X be a Pascal random variable and v the variable value.
- Returns P( X = v) when Cumulative = false.
- Returns P( X ≤ v) when Cumulative = true.
- First two parameters are same as above.
CAS Syntax
- Pascal[ <Number of Successes>, <Probability of Success>, <Variable Value>, <Boolean Cumulative> ]
- Let X be a Pascal random variable.
- Returns P( X = v) when Cumulative = false.
- Returns P( X ≤ v) when Cumulative = true.
- Example:The number of independent Bernoulli trials that must be successful is n = 1, the probability of success in one trial is p = \(\frac{1}{6}\), the variable value is v = 2 and "Cumulative" = false.
Pascal[ n, p, v, false]
yields \(\frac{25}{216}\)